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2034833040 = 2432547157383
BaseRepresentation
bin111100101001001…
…0001011010010000
312020210220020011200
41321102101122100
513131404124130
6533525311200
7101265536562
oct17122213220
95223806150
102034833040
119546791a9
12489565500
13265752126
14154365332
15bd993760
hex79491690

2034833040 has 240 divisors, whose sum is σ = 7041835008. Its totient is φ = 526316544.

The previous prime is 2034833033. The next prime is 2034833041. The reversal of 2034833040 is 403384302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2034832995 and 2034833013.

It is not an unprimeable number, because it can be changed into a prime (2034833041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5312689 + ... + 5313071.

Almost surely, 22034833040 is an apocalyptic number.

2034833040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520917504).

2034833040 is an abundant number, since it is smaller than the sum of its proper divisors (5007001968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2034833040 is a wasteful number, since it uses less digits than its factorization.

2034833040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2034833040 is about 45109.1236891164. The cubic root of 2034833040 is about 1267.1934718538.

The spelling of 2034833040 in words is "two billion, thirty-four million, eight hundred thirty-three thousand, forty".